JEE Main & Advanced Physics Magnetic Effects of Current / करंट का चुंबकीय प्रभाव Question Bank Biot-savart's Law and Amperes Law

  • question_answer
    A helium nucleus makes a full rotation in a circle of radius 0.8 metre in two seconds. The value of the magnetic field B at the centre of the circle will be [CPMT 1988; KCET 1998; UPSEAT 2001]

    A)            \[\frac{{{10}^{-19}}}{{{\mu }_{0}}}\]                              

    B)            \[{{10}^{-19}}{{\mu }_{0}}\]

    C)            \[2\times {{10}^{-10}}{{\mu }_{0}}\]                             

    D)            \[\frac{2\times {{10}^{-10}}}{{{\mu }_{0}}}\]

    Correct Answer: B

    Solution :

                       \[i=\frac{q}{T}=\frac{2\times 1.6\times {{10}^{-19}}}{2}=1.6\times {{10}^{-19}}A\]            \[\therefore \,B=\frac{{{\mu }_{o}}i}{2r}=\frac{{{\mu }_{o}}\times 1.6\times {{10}^{-19}}}{2\times 0.8}={{\mu }_{o}}\times {{10}^{-19}}\]


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